So sánh

A=1.1!+2.2!+3.3!+...+100.100!/1.199+2.197+3.195+...+100.1

B=99!/3

(! là giai thừa nhé.vd:2=1×2,3=1×2×3,4=1×2×3×4...)

Cho 

C= \(\frac{100^2+1^2}{100.1}+\frac{99^2+2^2}{99.2}+..................+\frac{51^2+50^2}{51.50}\)

D= \(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+................+\frac{1}{1001}\) 

Tính C:D

\(A=\frac{100^2+1^2}{100.1}+\frac{99^2+2^2}{99.2}+...+\frac{52^2+49^2}{52.49}+\frac{51^2+50^2}{51.50}\)

\(B=\frac{1}{100.1}+\frac{1}{99.2}+...+\frac{1}{51.50}\)

\(C=\frac{1}{2}+\frac{1}{3}+...+\frac{1}{100}+\frac{1}{101}\)

a) Tính\(\frac{A}{C}\)

b)Tính C-101B

C = 1/100.1 + 1/99.2 + 1/98.3 +....+ 1/52.49 + 1/51.50 ; B = 1/2 + 1/3 + 1/4 +...+ 1/100 + 1/101 . Tính B - 101C

Cho \(E=\frac{100^2+1^2}{100.1}+\frac{99^2+2^2}{99.2}+\frac{98^2+3^2}{98.3}+...+\frac{52^2+49^2}{52.49}+\frac{51^2+50^2}{51.50}\) 

F = 1/2+1/3+1/4+1/5+...+1/100+1/101

Tính E/F

Tính :

D= 1+(1+2)+(1+2+3)+...+(1+2+3+...+99+100)/(1.100+2.99+...+99.2+100.1).2013

Tính: 

   \(C=\) \(\frac{1.1!}{1!.2!}+\frac{2.2!}{2!.3!}+\frac{3.3!}{3!.4!}+......+\frac{100.100!}{100!.101!}\)

Cho \(E=\frac{100^2+1^1}{100.1}+\frac{99^2+2^2}{99.2}+\frac{98^2+3^2}{98.3}+...+\frac{52^2+49^2}{52.49}+\frac{51^2+50^2}{51.50}\)

\(F=\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...\frac{1}{101}\)

\(G=\frac{1}{100.1}+\frac{1}{99.2}+...\frac{1}{51.50}\)

a) Tính  \(\frac{E}{F}\)

b) Tính F - 101G

Các bạn giúp mình nhé!

Tìm x biết: (1/2+1/3+1/4+......+1/10)=1/100.1+1/99.2+......+1/52.49+1/51.50